85508460 has 60 divisors (see below), whose sum is σ = 268248288. Its totient is φ = 22801824.

The previous prime is 85508399. The next prime is 85508473. The reversal of 85508460 is 6480558.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24772 + ... + 28011.

Almost surely, 2^85508460 is an apocalyptic number.

It is an amenable number.

85508460 is an abundant number, since it is smaller than the sum of its proper divisors (182739828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85508460 is a wasteful number, since it uses less digits than its factorization.

85508460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52804 (or 52793 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85508460 is about 9247.0784575454. The cubic root of 85508460 is about 440.5579354699.

The spelling of 85508460 in words is "eighty-five million, five hundred eight thousand, four hundred sixty".